Anoverview of complex boundary value problems

Okay Çelebi

Makale detayları

Anoverview of complex boundary value problems

Yazarlar:

Okay Çelebi

Yayıncı:

Istanbul University

Ana Başlıklar:

Pure Mathematics (Other)

Dergi:

Istanbul Journal of Mathematics Vol.3 Issue 1, pp.39-44

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001355939

pISSN:

2980-3020

Anahtar kelimeler:

Özet:

 In this overview we have pointed out some boundary value problems in a subset of complex plane. We start with Cauchy-Riemann operator and their conjugates. Then we introduce the Cauchy- Riemann operator and its conjugate. Firstly, we introduce the polyanalytic Pompeiu integral representation   and its conjugate which vanish at infinity. The basic polyanalytic Schwarz and polyanalytic Dirichlet problems are introduced. The later part is devoted to polyanalytic problems and discussions on polyharmonic problems. We have also summarized polyanalytic Neumann problem in the unit disk for   . In this case, we may have three types of boundaryvalueproblems.ThosearepolyharmonicDirichletproblem,polyharmonicNeumannproblemandpolyharmonic Riquier Navier problem. In this later part we have given the iterated polyharmonic Green function.

 In this overview we have pointed out some boundary value problems in a subset of complex plane. We start with Cauchy-Riemann operator and their conjugates. Then we introduce the Cauchy- Riemann operator and its conjugate. Firstly, we introduce the polyanalytic Pompeiu integral representation   and its conjugate which vanish at infinity. The basic polyanalytic Schwarz and polyanalytic Dirichlet problems are introduced. The later part is devoted to polyanalytic problems and discussions on polyharmonic problems. We have also summarized polyanalytic Neumann problem in the unit disk for   . In this case, we may have three types of boundaryvalueproblems.ThosearepolyharmonicDirichletproblem,polyharmonicNeumannproblemandpolyharmonic Riquier Navier problem. In this later part we have given the iterated polyharmonic Green function.

 In this overview we have pointed out some boundary value problems in a subset of complex plane. We start with Cauchy-Riemann operator and their conjugates. Then we introduce the Cauchy- Riemann operator and its conjugate. Firstly, we introduce the polyanalytic Pompeiu integral representation   and its conjugate which vanish at infinity. The basic polyanalytic Schwarz and polyanalytic Dirichlet problems are introduced. The later part is devoted to polyanalytic problems and discussions on polyharmonic problems. We have also summarized polyanalytic Neumann problem in the unit disk for   . In this case, we may have three types of boundaryvalueproblems.ThosearepolyharmonicDirichletproblem,polyharmonicNeumannproblemandpolyharmonic Riquier Navier problem. In this later part we have given the iterated polyharmonic Green function.

 In this overview we have pointed out some boundary value problems in a subset of complex plane. We start with Cauchy-Riemann operator and their conjugates. Then we introduce the Cauchy- Riemann operator and its conjugate. Firstly, we introduce the polyanalytic Pompeiu integral representation   and its conjugate which vanish at infinity. The basic polyanalytic Schwarz and polyanalytic Dirichlet problems are introduced. The later part is devoted to polyanalytic problems and discussions on polyharmonic problems. We have also summarized polyanalytic Neumann problem in the unit disk for   . In this case, we may have three types of boundaryvalueproblems.ThosearepolyharmonicDirichletproblem,polyharmonicNeumannproblemandpolyharmonic Riquier Navier problem. In this later part we have given the iterated polyharmonic Green function.

Makale detayları

Anoverview of complex boundary value problems

Yazarlar: Okay Çelebi

Yayıncı: Istanbul University

Ana Başlıklar: Pure Mathematics (Other)

Dergi: Istanbul Journal of Mathematics Vol.3 Issue 1, pp.39-44

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001355939

pISSN: 2980-3020

Dirichlet

Neumann

Riquier

Sayı

Yazarlar:

Okay Çelebi

Yayıncı:

Istanbul University

Ana Başlıklar:

Pure Mathematics (Other)

Dergi:

Istanbul Journal of Mathematics Vol.3 Issue 1, pp.39-44

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001355939

pISSN:

2980-3020